supplementary materials


Acta Cryst. (2007). E63, i157    [ doi:10.1107/S1600536807027043 ]

Langbeinite-type Rb2Ca2(SO4)3

M. Boujelben, M. Toumi and T. Mhiri

Abstract top

Single crystals of dirubidium dicalcium tris[sulfate(VI)], Rb2Ca2(SO4)3, were obtained from solid-state reactions of Rb2SO4 and CaSO4. The title compound crystallizes in the cubic langbeinite-type structure. It features two crystallographically independent CaO6 octahedra (each with site symmetry 3), which are linked by sharing corners with SO4 tetrahedra to establish a framework with composition [Ca2(SO4)3]2-, where the two independent Rb+ cations (site symmetry 3) are located in the voids.

Comment top

The double sulfate salts with formula A2B2(SO4)3 adopting the langbeinite-type structure have attracted great interest due to their ferroelastic or ferroelectric properties and first-order phase transitions (Ukeda et al., 1995; Dilanian et al., 1999 and references therein). Numerous compounds with A = NH4, K, Rb, Tl, Cs and B = Mn, Ca, Mg, Fe, Co, Ni, Zn, Cd (e.g. Zemann & Zemann, 1957; Guelylah et al., 1996; Guelylah & Madariaga, 2003) have been characterized up to now. Gattow and Zemann (1957) mentioned the possible synthesis of 26 double sulfates, including large monovalent cations. Notable differences exist between langbeinite-type and Nasicon-type structures (Sizova et al., 1981; Droß & Glaum, 2004). In the Nasicon-type structures, four interstitial vacant sites are present, while langbeinite-type structures have only two.

A projection of the crystal structure of langbeinite-type Rb2Ca2(SO4)3 is given in Fig. 1. It is characterized by the presence of alternating SO4 tetrahedra and CaO6 octahedra, linked by sharing corners, to establish a [Ca2(SO4)3]2− framework. The two independent Rb+ ions are located in the voids of this arrangement.

The SO4 tetrahedra are quite regular, with an average S—O distance of 1.455 Å, which is virtually the same as that observed in the isotypic Rb2Cd2(SO4)2 (1.455 Å; Guelylah & Madariaga, 2003). In the title compound sulfur has a bond valence sum (BVS) of 6.69 valence units (expected 6) as calculated with the values given by Brown & Altermatt (1985). The [Ca1O6] octahedron is quite regular, with dav(Ca1—O) = 2.292 Å, whereas the [Ca2O6] octahedron is considerably distorted, with dav(Ca2—O) = 2.321 Å. Rb1 has twelve oxygen neighbours with dav(Rb1—O) = 3.239 Å and a BVS of 1.03 (expected 1). Rb2 is ninefold coordinated with dav(Rb2—O) = 3.158 Å and a BVS of 0.852 (expected 1).

Related literature top

For studies of phase transitions of langbeinites, see: Ukeda et al. (1995); Dilanian et al. (1999). Double sulfates of the langbeinite-type were summarized by Gattow & Zemann (1957). For single-crystal structure analyses of selected langbeinites, see: Zemann & Zemann (1957); Guelylah et al. (1996); Guelylah & Madariaga (2003). Differences of the langbeinite and the Nasicon structure are discussed by Sizova et al. (1981) and Droß & Glaum (2004). Parameters for the bond valence sum (BVS) analysis were taken from Brown & Altermatt (1985).

Experimental top

Single crystals of Rb2Ca2(SO4)3 were obtained by solid-state reaction of Rb2SO4 (Aldrich 99.999%) and CaSO4.H2O (Aldrich 99.9%). Stoichiometric amounts of the starting materials were mixed thoroughly in an agate mortar. After grinding, the mixture was heated at 673 K for 4 h, then at 1173 K for 66 h and was finally allowed to cool to room temperature at a rate of 5 K/h. Transparent polycrystalline chunks were obtained from which single crystals were separated manually.

Computing details top

Data collection: STADI4 (Stoe & Cie, 2000); cell refinement: STADI4; data reduction: X-RED (Stoe & Cie, 1996); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: CRYSTALS (Betteridge et al., 2003); molecular graphics: DIAMOND (Brandenburg & Berndt, 1999); software used to prepare material for publication: CRYSTALS.

Figures top
[Figure 1] Fig. 1. Projection of the crystal structure of langbeinite-type Rb2Ca2(SO4)3 approximately along [001]. The voids are visible, where the Rb+ cations (lavender spheres) are located. CaO6 octahedra are dark-grey and SO4 tetrahedra are light-grey.
dirubidium dicalcium tris[sulfate(VI)] top
Crystal data top
Rb2Ca2(SO4)3Z = 4
Mr = 539.28F000 = 1032
Cubic, P213Dx = 3.048 Mg m3
Hall symbol: P 2ac 2ab 3Mo Kα radiation
λ = 0.71073 Å
a = 10.553 (3) ÅCell parameters from 23 reflections
b = 10.553 (3) Åθ = 2.7–30.1º
c = 10.553 (3) ŵ = 9.79 mm1
α = 90ºT = 293 K
β = 90ºFragment, colourless
γ = 90º0.22 × 0.13 × 0.05 mm
V = 1175.2 (6) Å3
Data collection top
Stoe–Siemens AED2 four-circle
diffractometer
Rint = 0.08
Monochromator: graphiteθmax = 29.9º
T = 298 Kθmin = 2.7º
ω/2θ scansh = 8→9
Absorption correction: multi-scan
(MULABS in PLATON; Spek, 2003)
k = 10→10
Tmin = 0.231, Tmax = 0.644l = 14→14
1236 measured reflections2 standard reflections
1080 independent reflections every 30 min
658 reflections with I > 3σ(I) intensity decay: 0.7%
Refinement top
Refinement on F2  w = 1/[σ2(Fo2) + (0.021P)2 + 6.5703P]
where P = (Fo2 + 2Fc2)/3 Method, part 1, Chebychev polynomial, (Watkin (1994). Acta Cryst. A50, 411–437. Prince (1982) Mathematical Techniques in Crystallography and Materials Science. New York: Springer-Verlag.] [weight] = 1.0/[A0*T0(x) + A1*T1(x) ··· + An-1]*Tn-1(x)]
where Ai are the Chebychev coefficients listed below and x = F /Fmax Method = Robust Weighting (Prince, 1982) W = [weight] * [1-(deltaF/6*sigmaF)2]2 Ai are: 2.38 -2.95 2.50 -1.02 0.340
Least-squares matrix: full(Δ/σ)max = 0.001
R[F2 > 2σ(F2)] = 0.065Δρmax = 0.93 e Å3
wR(F2) = 0.128Δρmin = 1.00 e Å3
S = 1.12Extinction correction: SHELXL
1080 reflectionsExtinction coefficient: 0.0008 (5)
59 parametersAbsolute structure: Flack (1983), 558 Friedel pairs
Primary atom site location: structure-invariant direct methodsFlack parameter: 0.00 (4)
Crystal data top
Rb2Ca2(SO4)3γ = 90º
Mr = 539.28V = 1175.2 (6) Å3
Cubic, P213Z = 4
a = 10.553 (3) ÅMo Kα
b = 10.553 (3) ŵ = 9.79 mm1
c = 10.553 (3) ÅT = 293 K
α = 90º0.22 × 0.13 × 0.05 mm
β = 90º
Data collection top
Stoe–Siemens AED2 four-circle
diffractometer
658 reflections with I > 3σ(I)
Absorption correction: multi-scan
(MULABS in PLATON; Spek, 2003)
Rint = 0.08
Tmin = 0.231, Tmax = 0.6442 standard reflections
1236 measured reflections every 30 min
1080 independent reflections intensity decay: 0.7%
Refinement top
R[F2 > 2σ(F2)] = 0.065Δρmax = 0.93 e Å3
wR(F2) = 0.128Δρmin = 1.00 e Å3
S = 1.12Absolute structure: Flack (1983), 558 Friedel pairs
1080 reflectionsFlack parameter: 0.00 (4)
59 parameters
Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Ca10.3314 (2)0.3314 (2)0.3314 (2)0.0170 (9)
Ca20.5920 (2)0.5920 (2)0.5920 (2)0.0170 (9)
Rb10.81628 (13)0.81628 (13)0.81628 (13)0.0270 (5)
Rb20.04991 (13)0.04991 (13)0.04991 (13)0.0291 (6)
S0.2243 (3)0.3749 (3)0.0108 (3)0.0136 (6)
O10.3089 (9)0.2795 (8)0.9600 (9)0.032 (2)
O20.0954 (8)0.3285 (10)0.0046 (10)0.039 (3)
O30.2364 (10)0.4880 (10)0.9326 (11)0.043 (3)
O40.2580 (10)0.4059 (11)0.1420 (9)0.044 (3)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Ca10.0170 (9)0.0170 (9)0.0170 (9)0.0002 (10)0.0002 (10)0.0002 (10)
Ca20.0170 (9)0.0170 (9)0.0170 (9)0.0004 (10)0.0004 (10)0.0004 (10)
Rb10.0270 (5)0.0270 (5)0.0270 (5)0.0023 (6)0.0023 (6)0.0023 (6)
Rb20.0291 (6)0.0291 (6)0.0291 (6)0.0012 (6)0.0012 (6)0.0012 (6)
S0.0156 (15)0.0120 (13)0.0131 (15)0.0031 (11)0.0003 (11)0.0015 (10)
O10.034 (5)0.023 (5)0.039 (6)0.011 (4)0.012 (5)0.006 (4)
O20.015 (5)0.037 (6)0.064 (7)0.007 (4)0.011 (5)0.016 (6)
O30.059 (7)0.030 (6)0.041 (6)0.015 (5)0.008 (5)0.023 (5)
O40.060 (8)0.047 (7)0.026 (6)0.003 (6)0.009 (5)0.011 (5)
Geometric parameters (Å, °) top
Ca1—O4i2.284 (10)Rb1—O3xxiii3.464 (13)
Ca1—O4ii2.284 (10)Rb1—O3xxiv3.464 (13)
Ca1—O42.284 (10)Rb2—O2i3.018 (10)
Ca1—O3iii2.299 (10)Rb2—O23.018 (10)
Ca1—O3iv2.299 (10)Rb2—O2ii3.018 (10)
Ca1—O3v2.299 (10)Rb2—O1xxv3.118 (10)
Ca1—Rb1vi4.0344 (18)Rb2—O1xxvi3.118 (10)
Ca1—Rb1vii4.0344 (18)Rb2—O1xxvii3.118 (10)
Ca1—Rb1viii4.0344 (18)Rb2—O3xxvi3.338 (11)
Ca1—Rb2ix4.804 (2)Rb2—O3xxvii3.338 (11)
Ca1—Rb2x4.804 (2)Rb2—O3xxv3.338 (11)
Ca1—Rb2xi4.804 (2)Rb2—Sxxviii3.584 (3)
Ca2—O1xii2.304 (9)Rb2—Sxxix3.584 (3)
Ca2—O1xiii2.304 (9)Rb2—Sxxx3.584 (3)
Ca2—O1xiv2.304 (9)S—O1xxxi1.449 (9)
Ca2—O2xv2.338 (9)S—O21.447 (9)
Ca2—O2xvi2.338 (9)S—O3xxxi1.456 (10)
Ca2—O2xvii2.338 (9)S—O41.466 (10)
Ca2—Sxv3.464 (4)S—Ca2xxvii3.464 (4)
Ca2—Sxvi3.464 (4)S—Rb1v3.533 (3)
Ca2—Sxvii3.464 (4)S—Rb2xi3.584 (3)
Ca2—Rb2xv4.0891 (19)S—Rb1viii3.859 (3)
Ca2—Rb2xviii4.0891 (19)O1—Sxxxii1.449 (9)
Ca2—Rb2xvii4.0891 (19)O1—Ca2vii2.304 (9)
Rb1—O4xix3.028 (11)O1—Rb2xv3.118 (10)
Rb1—O4xx3.028 (11)O1—Rb1vii3.224 (9)
Rb1—O4xxi3.028 (11)O2—Ca2xxvii2.338 (9)
Rb1—O1xii3.224 (9)O2—Rb1v3.515 (10)
Rb1—O1xiii3.224 (9)O3—Sxxxii1.456 (10)
Rb1—O1xiv3.224 (10)O3—Ca1xviii2.299 (10)
Rb1—O3xiv3.239 (12)O3—Rb1vii3.239 (12)
Rb1—O3xii3.239 (12)O3—Rb2xv3.338 (11)
Rb1—O3xiii3.239 (12)O3—Rb1xxxiii3.464 (13)
Rb1—O3xxii3.464 (13)O4—Rb1viii3.028 (11)
O4i—Ca1—O4ii96.9 (4)O3xii—Rb1—O3xxiii138.68 (19)
O4i—Ca1—O496.9 (4)O3xiii—Rb1—O3xxiii58.5 (4)
O4ii—Ca1—O496.9 (4)O3xxii—Rb1—O3xxiii82.8 (3)
O4i—Ca1—O3iii90.9 (4)O4xix—Rb1—O3xxiv107.7 (3)
O4ii—Ca1—O3iii81.3 (4)O4xx—Rb1—O3xxiv54.3 (3)
O4—Ca1—O3iii172.1 (4)O4xxi—Rb1—O3xxiv42.4 (2)
O4i—Ca1—O3iv81.3 (4)O1xii—Rb1—O3xxiv96.7 (2)
O4ii—Ca1—O3iv172.1 (4)O1xiii—Rb1—O3xxiv131.6 (2)
O4—Ca1—O3iv90.9 (4)O1xiv—Rb1—O3xxiv145.4 (2)
O3iii—Ca1—O3iv91.0 (4)O3xiv—Rb1—O3xxiv138.68 (19)
O4i—Ca1—O3v172.1 (4)O3xii—Rb1—O3xxiv58.5 (4)
O4ii—Ca1—O3v90.9 (4)O3xiii—Rb1—O3xxiv104.18 (3)
O4—Ca1—O3v81.3 (4)O3xxii—Rb1—O3xxiv82.8 (3)
O3iii—Ca1—O3v91.0 (4)O3xxiii—Rb1—O3xxiv82.8 (3)
O3iv—Ca1—O3v91.0 (4)O2i—Rb2—O291.4 (3)
O1xii—Ca2—O1xiii85.6 (4)O2i—Rb2—O2ii91.4 (3)
O1xii—Ca2—O1xiv85.6 (4)O2—Rb2—O2ii91.4 (3)
O1xiii—Ca2—O1xiv85.6 (4)O2i—Rb2—O1xxv64.0 (2)
O1xii—Ca2—O2xv172.2 (4)O2—Rb2—O1xxv153.1 (3)
O1xiii—Ca2—O2xv88.5 (3)O2ii—Rb2—O1xxv79.1 (2)
O1xiv—Ca2—O2xv89.0 (3)O2i—Rb2—O1xxvi79.1 (2)
O1xii—Ca2—O2xvi89.0 (3)O2—Rb2—O1xxvi64.0 (2)
O1xiii—Ca2—O2xvi172.2 (4)O2ii—Rb2—O1xxvi153.1 (3)
O1xiv—Ca2—O2xvi88.5 (3)O1xxv—Rb2—O1xxvi117.59 (9)
O2xv—Ca2—O2xvi96.4 (3)O2i—Rb2—O1xxvii153.1 (3)
O1xii—Ca2—O2xvii88.5 (3)O2—Rb2—O1xxvii79.1 (2)
O1xiii—Ca2—O2xvii89.0 (3)O2ii—Rb2—O1xxvii64.0 (2)
O1xiv—Ca2—O2xvii172.2 (4)O1xxv—Rb2—O1xxvii117.59 (9)
O2xv—Ca2—O2xvii96.4 (3)O1xxvi—Rb2—O1xxvii117.59 (9)
O2xvi—Ca2—O2xvii96.4 (3)O2i—Rb2—O3xxvi78.9 (3)
O4xix—Rb1—O4xx94.9 (3)O2—Rb2—O3xxvi106.5 (2)
O4xix—Rb1—O4xxi94.9 (3)O2ii—Rb2—O3xxvi159.8 (2)
O4xx—Rb1—O4xxi94.9 (3)O1xxv—Rb2—O3xxvi80.6 (2)
O4xix—Rb1—O1xii155.6 (3)O1xxvi—Rb2—O3xxvi42.5 (2)
O4xx—Rb1—O1xii99.5 (2)O1xxvii—Rb2—O3xxvi127.9 (3)
O4xxi—Rb1—O1xii103.3 (3)O2i—Rb2—O3xxvii159.8 (2)
O4xix—Rb1—O1xiii103.3 (3)O2—Rb2—O3xxvii78.9 (3)
O4xx—Rb1—O1xiii155.6 (3)O2ii—Rb2—O3xxvii106.5 (2)
O4xxi—Rb1—O1xiii99.5 (2)O1xxv—Rb2—O3xxvii127.9 (3)
O1xii—Rb1—O1xiii58.1 (3)O1xxvi—Rb2—O3xxvii80.6 (2)
O4xix—Rb1—O1xiv99.5 (2)O1xxvii—Rb2—O3xxvii42.5 (2)
O4xx—Rb1—O1xiv103.3 (3)O3xxvi—Rb2—O3xxvii86.7 (3)
O4xxi—Rb1—O1xiv155.6 (3)O2i—Rb2—O3xxv106.5 (2)
O1xii—Rb1—O1xiv58.1 (3)O2—Rb2—O3xxv159.8 (2)
O1xiii—Rb1—O1xiv58.1 (3)O2ii—Rb2—O3xxv78.9 (3)
O4xix—Rb1—O3xiv62.7 (3)O1xxv—Rb2—O3xxv42.5 (2)
O4xx—Rb1—O3xiv85.4 (3)O1xxvi—Rb2—O3xxv127.9 (3)
O4xxi—Rb1—O3xiv157.5 (3)O1xxvii—Rb2—O3xxv80.6 (2)
O1xii—Rb1—O3xiv98.8 (3)O3xxvi—Rb2—O3xxv86.7 (3)
O1xiii—Rb1—O3xiv88.6 (2)O3xxvii—Rb2—O3xxv86.7 (3)
O1xiv—Rb1—O3xiv42.6 (2)O1xxxi—S—O2109.1 (6)
O4xix—Rb1—O3xii157.5 (3)O1xxxi—S—O3xxxi107.8 (6)
O4xx—Rb1—O3xii62.7 (3)O2—S—O3xxxi109.5 (7)
O4xxi—Rb1—O3xii85.4 (3)O1xxxi—S—O4110.8 (6)
O1xii—Rb1—O3xii42.6 (2)O2—S—O4110.2 (6)
O1xiii—Rb1—O3xii98.8 (2)O3xxxi—S—O4109.3 (7)
O1xiv—Rb1—O3xii88.6 (2)Sxxxii—O1—Ca2vii164.7 (6)
O3xiv—Rb1—O3xii114.23 (15)Sxxxii—O1—Rb2xv96.5 (4)
O4xix—Rb1—O3xiii85.4 (3)Ca2vii—O1—Rb2xv96.8 (3)
O4xx—Rb1—O3xiii157.5 (3)Sxxxii—O1—Rb1vii89.9 (4)
O4xxi—Rb1—O3xiii62.7 (3)Ca2vii—O1—Rb1vii94.3 (3)
O1xii—Rb1—O3xiii88.6 (2)Rb2xv—O1—Rb1vii103.6 (3)
O1xiii—Rb1—O3xiii42.6 (2)S—O2—Ca2xxvii131.0 (6)
O1xiv—Rb1—O3xiii98.8 (3)S—O2—Rb2118.2 (5)
O3xiv—Rb1—O3xiii114.23 (15)Ca2xxvii—O2—Rb298.8 (3)
O3xii—Rb1—O3xiii114.23 (14)S—O2—Rb1v78.8 (4)
O4xix—Rb1—O3xxii54.3 (3)Ca2xxvii—O2—Rb1v128.1 (4)
O4xx—Rb1—O3xxii42.4 (2)Rb2—O2—Rb1v99.1 (3)
O4xxi—Rb1—O3xxii107.7 (3)Sxxxii—O3—Ca1xviii156.2 (7)
O1xii—Rb1—O3xxii131.6 (2)Sxxxii—O3—Rb1vii89.2 (5)
O1xiii—Rb1—O3xxii145.4 (2)Ca1xviii—O3—Rb1vii91.9 (4)
O1xiv—Rb1—O3xxii96.7 (2)Sxxxii—O3—Rb2xv87.6 (5)
O3xiv—Rb1—O3xxii58.5 (4)Ca1xviii—O3—Rb2xv115.7 (4)
O3xii—Rb1—O3xxii104.18 (3)Rb1vii—O3—Rb2xv98.5 (3)
O3xiii—Rb1—O3xxii138.68 (19)Sxxxii—O3—Rb1xxxiii94.4 (5)
O4xix—Rb1—O3xxiii42.4 (2)Ca1xviii—O3—Rb1xxxiii86.4 (3)
O4xx—Rb1—O3xxiii107.7 (3)Rb1vii—O3—Rb1xxxiii174.7 (3)
O4xxi—Rb1—O3xxiii54.3 (3)Rb2xv—O3—Rb1xxxiii77.7 (3)
O1xii—Rb1—O3xxiii145.4 (2)S—O4—Ca1146.3 (7)
O1xiii—Rb1—O3xxiii96.7 (2)S—O4—Rb1viii113.7 (6)
O1xiv—Rb1—O3xxiii131.6 (2)Ca1—O4—Rb1viii97.9 (3)
O3xiv—Rb1—O3xxiii104.18 (3)
Symmetry codes: (i) z, x, y; (ii) y, z, x; (iii) z−1/2, −x+1/2, −y+1; (iv) −x+1/2, −y+1, z−1/2; (v) −y+1, z−1/2, −x+1/2; (vi) −y+3/2, −z+1, x−1/2; (vii) −y+1, z−1/2, −x+3/2; (viii) z−1/2, −x+3/2, −y+1; (ix) −y, z+1/2, −x+1/2; (x) −y+1/2, −z, x+1/2; (xi) z+1/2, −x+1/2, −y; (xii) −x+1, y+1/2, −z+3/2; (xiii) y+1/2, −z+3/2, −x+1; (xiv) −z+3/2, −x+1, y+1/2; (xv) z+1/2, −x+1/2, −y+1; (xvi) −x+1/2, −y+1, z+1/2; (xvii) −y+1, z+1/2, −x+1/2; (xviii) −y+1/2, −z+1, x+1/2; (xix) −z+1, x+1/2, −y+3/2; (xx) x+1/2, −y+3/2, −z+1; (xxi) −y+3/2, −z+1, x+1/2; (xxii) x+1/2, −y+3/2, −z+2; (xxiii) −z+2, x+1/2, −y+3/2; (xxiv) −y+3/2, −z+2, x+1/2; (xxv) −z+1, x−1/2, −y+1/2; (xxvi) x−1/2, −y+1/2, −z+1; (xxvii) −y+1/2, −z+1, x−1/2; (xxviii) −z, x−1/2, −y+1/2; (xxix) x−1/2, −y+1/2, −z; (xxx) −y+1/2, −z, x−1/2; (xxxi) x, y, z−1; (xxxii) x, y, z+1; (xxxiii) z−1/2, −x+3/2, −y+2.
Selected geometric parameters (Å) top
Ca1—O42.284 (10)Rb2—O23.018 (10)
Ca1—O3i2.299 (10)Rb2—O1vii3.118 (10)
Ca2—O1ii2.304 (9)Rb2—O3vii3.338 (11)
Ca2—O2iii2.338 (9)S—O1viii1.449 (9)
Rb1—O4iv3.028 (11)S—O21.447 (9)
Rb1—O1v3.224 (9)S—O3viii1.456 (10)
Rb1—O3v3.239 (12)S—O41.466 (10)
Rb1—O3vi3.464 (13)
Symmetry codes: (i) z−1/2, −x+1/2, −y+1; (ii) −z+3/2, −x+1, y+1/2; (iii) −y+1, z+1/2, −x+1/2; (iv) −z+1, x+1/2, −y+3/2; (v) −x+1, y+1/2, −z+3/2; (vi) −z+2, x+1/2, −y+3/2; (vii) −z+1, x−1/2, −y+1/2; (viii) x, y, z−1.
Acknowledgements top

The authors thank Marc Leblanc for X-ray data collection.

references
References top

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